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Finding the Fourth Proportional to 162,802.80, 244,171.80 and 78,562.80

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Solution

The fourth proportional to 162,802.80, 244,171.80 and 78,562.80 is: 117,828.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,802.80 : 244,171.80 = 78,562.80 : x
  2. Step 2: Convert to fraction form
    162,802.80/244,171.80 = 78,562.80/x
  3. Step 3: Cross multiply
    162,802.80x = 244,171.80 × 78,562.80
  4. Step 4: Simplify right side
    162,802.80x = 19,182,820,289.04
  5. Step 5: Solve for x
    x = 19,182,820,289.04/162,802.80
  6. Step 6: Final answer
    x = 117,828.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.